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Finding the Fourth Proportional to 146,749, 202,513.64 and 79,681

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Solution

The fourth proportional to 146,749, 202,513.64 and 79,681 is: 109,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,749 : 202,513.64 = 79,681 : x
  2. Step 2: Convert to fraction form
    146,749/202,513.64 = 79,681/x
  3. Step 3: Cross multiply
    146,749x = 202,513.64 × 79,681
  4. Step 4: Simplify right side
    146,749x = 16,136,489,348.84
  5. Step 5: Solve for x
    x = 16,136,489,348.84/146,749
  6. Step 6: Final answer
    x = 109,959.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.